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82226496 = 2631138933
BaseRepresentation
bin1001110011010…
…10110101000000
312201201112112210
410321222311000
5132022221441
612054222120
72015625252
oct471526500
9181645483
1082226496
1142461a90
1223654940
131405c941
14acc5cd2
157343616
hex4e6ad40

82226496 has 56 divisors (see below), whose sum is σ = 237341664. Its totient is φ = 24916480.

The previous prime is 82226483. The next prime is 82226533. The reversal of 82226496 is 69462228.

It is a super-2 number, since 2×822264962 = 13522393288876032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17355 + ... + 21578.

It is an arithmetic number, because the mean of its divisors is an integer number (4238244).

Almost surely, 282226496 is an apocalyptic number.

It is an amenable number.

82226496 is an abundant number, since it is smaller than the sum of its proper divisors (155115168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82226496 is a wasteful number, since it uses less digits than its factorization.

82226496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38959 (or 38949 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 82226496 is about 9067.8826635549. The cubic root of 82226496 is about 434.8477839733.

The spelling of 82226496 in words is "eighty-two million, two hundred twenty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 38933 77866 116799 155732 233598 311464 428263 467196 622928 856526 934392 1245856 1284789 1713052 1868784 2491712 2569578 3426104 3737568 5139156 6852208 7475136 10278312 13704416 20556624 27408832 41113248 82226496